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You want to set up an aquarium and need to determine what size tank to buy. The graph shows tank sizes using a rule that relates the capacity of the tank to the combined lengths of the fish it can hold.

If you want three 2-in. goldfish, five 1-in. guppies, and a 3-in. loach, what is the smallest capacity tank you can buy?


Notice, with 0 fish, the tank still has 4 gallons of water

Respuesta :

The smallest capacity tank you can buy is 18 gallons.

How to find the minimum volume of the tank?

The graph attached between the capacity of the tank and the combined length of the fishes present in the tank starts from the point (0, 4) and further it passes through the point (6, 10). Thus, the slope is;

m = (10 - 4)/(6 - 0)

m = 1

The y-intercept of the graph is 4,

Thus, the equation of the graph in slope intercept form is;

y = x + 4

The total length of all the fishes present inside the tank is;

(3 * 2) + (5 * 1) + (1 * 3) = 14 gallons

Now, Since the length of the fishes is given on the x-axis, substitute 14 for x in equation of line of the graph to get;

y = 1(14) + 4

y = 18 gallons

Thus, the smallest capacity tank you can buy is 18 gallons.

Read more about minimizing tank volume at; https://brainly.com/question/14014489

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